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Finding the Fourth Proportional to 7,522.28, 10,380.72 and 4,210.28

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Solution

The fourth proportional to 7,522.28, 10,380.72 and 4,210.28 is: 5,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.28 : 10,380.72 = 4,210.28 : x
  2. Step 2: Convert to fraction form
    7,522.28/10,380.72 = 4,210.28/x
  3. Step 3: Cross multiply
    7,522.28x = 10,380.72 × 4,210.28
  4. Step 4: Simplify right side
    7,522.28x = 43,705,737.80
  5. Step 5: Solve for x
    x = 43,705,737.80/7,522.28
  6. Step 6: Final answer
    x = 5,810.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.